# a cylinder , a cone and a hemisphere of equal base have the same height. what is their ratio in their volumes ?

Let r and h be the radius of base and height of the cylinder, cone and hemisphere.

We know that, Height of hemisphere = Radius of the hemisphere

h = r

Volume of cylinder = πr2h = πr2 × r = πr3

Volume of cone =

Volume of hemisphere =

Volume of cylinder : Volume of cone : Volume of hemisphere

Thus, the ratio of their volumes is 3 : 1 : 2.

• 180

in case of the hemisphere,

volume of d hemishpere= 2/33

in case of cylinder,

height= r

volume= r2h= r3

in case of cone,